Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
91980bj |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-52234018149600000 = -1 · 28 · 36 · 55 · 75 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,10996004] |
[a1,a2,a3,a4,a6] |
Generators |
[248:5110:1] |
Generators of the group modulo torsion |
j |
-99672064/279889071875 |
j-invariant |
L |
7.7944498845279 |
L(r)(E,1)/r! |
Ω |
0.28241202843758 |
Real period |
R |
0.18399711776701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10220c1 |
Quadratic twists by: -3 |